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Finding the Fourth Proportional to 8,404.20, 12,594.42 and 3,470.76

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Solution

The fourth proportional to 8,404.20, 12,594.42 and 3,470.76 is: 5,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.20 : 12,594.42 = 3,470.76 : x
  2. Step 2: Convert to fraction form
    8,404.20/12,594.42 = 3,470.76/x
  3. Step 3: Cross multiply
    8,404.20x = 12,594.42 × 3,470.76
  4. Step 4: Simplify right side
    8,404.20x = 43,712,209.16
  5. Step 5: Solve for x
    x = 43,712,209.16/8,404.20
  6. Step 6: Final answer
    x = 5,201.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.